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Vector Analysis

Vector Analysis. A Mathematical Approach. V. V y. . V x. Vector Components. Soh Cah Toa. Measure all angles from nearest X axis. A. B. (-,+). (+,+). E. (-,-). (+,-). C. D. Vector Analysis. Make a rough sketch of all vectors from a common origin.

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Vector Analysis

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  1. Vector Analysis A Mathematical Approach

  2. V Vy  Vx Vector Components Soh Cah Toa

  3. Measure all angles from nearest X axis A B (-,+) (+,+) E (-,-) (+,-) C D

  4. Vector Analysis • Make a rough sketch of all vectors from a common origin. • Measure (convert) all angles from the nearest x-axis. • Calculate all x components using the equation Vx= V Cos  • Apply +/- to each x component using quadrant notation. • Sum up all x components.

  5. Vector Analysis • Measure (determine) all angles from the nearest x-axis. • Calculate all y components using the equation Vy = V sin  . • Apply +/- to each y component using quadrant notation. • Sum up all y components.

  6. Vector Analysis • Calculate the resultant vector using the Pythagorean Theorem. VR= Vx2 + Vy2]1/2 • Calculate the resultant angle using the tangent function R= tan-1(Vy/Vx)

  7. Vector Analysis Template Vx Vy A ____Cos ____ +/- ____Sin _____ +/- B ____Cos ____ +/- ____Sin _____ +/- C ____Cos ____ +/- ____Sin _____ +/- D ____Cos ____ +/- ____Sin _____ +/- E ____Cos ____ +/- ____Sin _____ +/- Ax+Bx+Cx+Dx+Ex Ay+By+Cy+Dy+Ey V

  8. Resultant Vector Calculation Vx R • VR= Vx2 + Vy2]1/2 Vy VR • R= tan-1 (Vy/Vx)

  9. Vector Analysis Conclusion • Do a rough sketch from a common axis. • Be sure calculator is set in deg. mode. • Be sure to use degrees from nearest x-axis. • Be sure to check +/- designations before summation step. • Report your answer using proper notation eg. 250 m at 43o Nof E.

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